PLS HELP! THIS IS OVERDUE! ''What is the range of possible lengths for the third side of a triangle that has side lengths of 7 and 10?''

The length has to be greater than the absolute difference between the other two lengths, but less than the sum of them. In other words, if your unknown side length is a, and the other two are b and c, then its |b - c| < a < b + c

So, putting in your values, you have 10 - 7 < a < 10 + 7, which is 3 < a < 17

So, your range is from 3 to 17 (non inclusive).

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is simply just 6n add the two together as they have an n